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tex2html_wrap_inline21

General
The group tex2html_wrap_inline21 is the symmetry group of the square. It consists of the identity, 3 rotations and 4 reflections. It is non abelian.
Order
8
Elements
5 of order 2, 2 of order 4
Generators
Rotation through tex2html_wrap_inline25 ,r, and a reflection y. The elements may be represented as 1, r, tex2html_wrap_inline35 , tex2html_wrap_inline37 , y, ry, tex2html_wrap_inline43 and tex2html_wrap_inline45 .
Subgroups
10 subgroups, 5 of which are normal. Of the 10, 6 are cyclic.
Factor groups
tex2html_wrap_inline21 , 1, tex2html_wrap_inline51 , tex2html_wrap_inline53

tabular17


Peter Williams
Wed Mar 26 23:42:31 PST 1997